Water falls from a height of 60 m at the rate of 15 kg/s to operate a ...
Given, h = 60m, g = 10 ms–2, Rate of flow of water = 15 kg/s
∴ Power of the falling water = 15 kgs–1 × 10 ms–2 × 60 m = 900 watt.
Loss in energy due to friction
∴ Power generated by the turbine = ( 9000 – 900) watt = 8100 watt = 8.1 kW
View all questions of this testWater falls from a height of 60 m at the rate of 15 kg/s to operate a ...
Water falls from a height of 60 m at the rate of 15 kg/s to operate a ...
Given:
Height (h) = 60 m
Rate of water flow (m) = 15 kg/s
Losses due to friction (L) = 10%
Acceleration due to gravity (g) = 10 m/s²
Formula used:
Power (P) = mgh * (1-L/100)
Calculation:
Potential energy of water = mgh
= 15 * 10 * 60
= 9000 J/s
Losses due to friction = L/100 * Potential energy of water
= 10/100 * 9000
= 900 J/s
Power generated by the turbine = (Potential energy of water - Losses due to friction) * g
= (9000 - 900) * 10
= 81000 J/s
= 8.1 kW
Therefore, the power generated by the turbine is 8.1 kW. Hence, option (a) is the correct answer.